IM 8.4.4 Practice: More Balanced Moves

[size=150]Mai and Tyler work on the equation[math]\frac{2}{5}b+1=-11[/math]. together. Mai's solution is [math]b=-25[/math] and Tyler's is [math]b=-28[/math]. Here is their work. Do you agree with their solutions? [/size][br][br][table][tr][td]Mai:[/td][td]  [/td][td]Tyler:[/td][/tr][tr][td][math]\frac{2}{5}b+1=-11[/math][/td][td][/td][td][math]\frac{2}{5}b+1=-11[/math][/td][/tr][tr][td][math]\frac{2}{5}b=-10[/math][/td][td][/td][td][math]2b+1=-55[/math][/td][/tr][tr][td][math]b=-10\cdot\frac{5}{2}[/math][/td][td][/td][td][math]2b=-56[/math][/td][/tr][tr][td][math]b=-25[/math][/td][td][/td][td][math]b=-28[/math][/td][/tr][/table]
Explain your reasoning.
Solve
[math]3(x-4)=12x[/math]
Describe what is being done in each step while solving the equation.
Starting equation: [math]2(-3x+4)=5x+2[/math][br][br]Step 1:[br][math]-6x+8=5x+2[/math]
Step 2:[br][math]8=11x+2[/math]
Step 3:[br][math]6=11x[/math]
Step 4:[br][math]x=\frac{6}{11}[/math]
Andre solved an equation, but when he checked his answer he saw his solution was incorrect. He knows he made a mistake, but he can’t find it.[br][br][math]\displaystyle \begin{align} \text{-}2(3x-5) &= 4(x+3)+8\\\text{-}6x+10 &= 4x+12+8\\\text{-}6x+10 &= 4x+20\\ 10 &= \text{-}2x+20\\\text{-}10 &= \text{-}2x\\ 5 &= x\end{align}[/math][br][br]Where is Andre’s mistake?
What is the solution to the equation?
[size=150]Choose the equation that has solutions [math](5,7)[/math] and [math](8,13)[/math].[/size]
[size=150]A length of ribbon is cut into two pieces to use in a craft project. The graph shows the length of the second piece, [math]x[/math] for each length of the first piece, [math]y[/math]. 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[/img][br]How long is the ribbon?
Explain how you know.
What is the slope of the line?
Explain what the slope of the line represents and why it fits the story.
Close

Information: IM 8.4.4 Practice: More Balanced Moves